Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 44 Issue: 1

Applications of $k$-Fibonacci numbers for the starlike analytic functions

Sayfa
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Yayın Tarihi
2015-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An application for inverse functions is also given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The $k-$ Fibonacci numbers $F_{k,n}\:(k>0)$, defined recursively by $F_{k,0}=0$ , $F_{k,1}=1$ and $F_{k,n}=kF_{k,n}+F_{k,n-1}$ for $n\geq1$ are used to define a new class $\mathcal{S}\mathcal{L}^k$.
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Temel Bulgular & Veri:The purpose of this paper is to apply properties of $k$-Fibonacci numbers to consider the classical problem of estimation of the Fekete–Szegö problem for the class $\mathcal{S}\mathcal{L}^{k}$.
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Sonuç & Katkı:An application for inverse functions is also given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:univalent functions · convex functions · starlike functions

Abstract

The $k-$ Fibonacci numbers $F_{k,n}\:(k>0)$, defined recursively by $F_{k,0}=0$ , $F_{k,1}=1$ and $F_{k,n}=kF_{k,n}+F_{k,n-1}$ for $n\geq1$ are used to define a new class $\mathcal{S}\mathcal{L}^k$. The purpose of this paper is to apply properties of $k$-Fibonacci numbers to consider the classical problem of estimation of the Fekete–Szegö problem for the class $\mathcal{S}\mathcal{L}^{k}$. An application for inverse functions is also given.

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Bu Makaleye Atıf Yap

Sokół, J., Raina, R. K., Özgür, N. Y. (2015). Applications of $k$-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 1. https://ajindex.com/articles/1403331

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